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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Quadratic Equations, Functions, and Inequalities
More on Quadratic Equations

Warm-Ups



1

To solve x4 - 5x2 + 6 = 0 by substitution, we can let w = x2.
A)TRUE
B)FALSE
2

We can solve x5 - 3x3 - 10 = 0 by substitution if we let w = x3.
A)TRUE
B)FALSE
3

We always use the quadratic formula on equations of quadratic form.
A)TRUE
B)FALSE
4

If w = x1/6, then w2 = x1/3.
A)TRUE
B)FALSE
5

To solve x - 7(x)1/2 + 10 = 0 by substitution, we let w1/2 = x.
A)TRUE
B)FALSE
6

If y = 21/2, then y2 = 21/4.
A)TRUE
B)FALSE
7

If John paints a 100-foot fence in x hours, then his rate is 100/x of the fence per hour.
A)TRUE
B)FALSE
8

If Elvia drives 300 miles in x hours, then her rate is 300/x miles per hour (mph).
A)TRUE
B)FALSE
9

If Ann’s boat goes 10 mph in still water, then against a 5-mph current, it will go 2 mph.
A)TRUE
B)FALSE
10

If squares with sides of length x inches are cut from the corners of an 11-inch by 14-inch rectangular piece of sheet metal and the sides are folded up to form a box, then the dimensions of the bottom will be 11 - x by 14 - x.
A)TRUE
B)FALSE